Finite Group Databasebeta

← #35577085

Subgroups — #35577085

Order 21248.

3146 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128284C211yesmaximal, characteristic, complemented
2C2×C4×D4×D83C211yesmaximal, characteristic, complemented
3#24915781C211yesmaximal, characteristic, complemented
4#24915761C211yesmaximal, characteristic, complemented
5#24915758C211yesmaximal, characteristic, complemented
6#24915744C211yesmaximal, characteristic, complemented
7#24913366C211yesmaximal, characteristic, complemented
8#24913354C211yesmaximal, characteristic, complemented
9#24913319C211yesmaximal, characteristic, complemented
10#24913312C211yesmaximal, characteristic, complemented
11#24911728C211yesmaximal, characteristic, complemented
12#24911593C211yesmaximal, characteristic, complemented
13#24911518C211yesmaximal, characteristic, complemented
14#24911404C211yesmaximal, characteristic, complemented
15#24911362C211yesmaximal, characteristic, complemented
16#24911359C211yesmaximal, characteristic, complemented
17#24911293C211yesmaximal, characteristic, complemented
18#24911219C211yesmaximal, characteristic, complemented
19#24911197C211yesmaximal, characteristic, complemented
20#24911131C211yesmaximal, characteristic, complemented
21#24911005C211yesmaximal, characteristic, complemented
22#24910998C211yesmaximal, characteristic, complemented
23#24910931C211yesmaximal, characteristic, complemented
24#24910840C211yesmaximal, characteristic, complemented
25#24910834C211yesmaximal, characteristic, complemented
26#24910775C211yesmaximal, characteristic, complemented
27#24910117C211yesmaximal, characteristic, complemented
28#24910097C211yesmaximal, characteristic, complemented
29C4×#14581760C211yesmaximal, characteristic, complemented
30C2×#19127579C211yesmaximal, characteristic, complemented
31C83×#2325C211yesmaximal, characteristic, complemented
32C23×D332C2211yescharacteristic
33C22×D4×D83C2211yescharacteristic
34C23×C4×D83C2211yescharacteristic
35C23×C4×D83C2211yescharacteristic, complemented
36#19128284—28no—
37C2×#14581787C2211yescharacteristic, complemented
38C2×#14581786C2211yescharacteristic, complemented
39C2×#14581780C2211yescharacteristic, complemented
40C2×#14581778C2211yescharacteristic, complemented
41C2×#14581777C2211yescharacteristic, complemented
42C2×#14581777C2211yescharacteristic, complemented
43C2×#14581775C2211yescharacteristic, complemented
44C2×#14581770C2211yescharacteristic, complemented
45C2×#14581769C2211yescharacteristic, complemented
46C2×#14581766C2211yescharacteristic, complemented
47C2×#14581765C2211yescharacteristic
48C2×#14581765C2211yescharacteristic
49C2×#14581765C2211yescharacteristic, complemented
50C2×#14581764C2211yescharacteristic
51C2×#14581764C2211yescharacteristic, complemented
52C2×#14581762C2211yescharacteristic
53C2×#14581762C2211yescharacteristic
54C2×#14581762C2211yescharacteristic
55C2×#14581760C2211yescharacteristic
56C2×#14581760C2211yescharacteristic
57C2×#14581760C2211yescharacteristic, complemented
58C2×#14581760C2211yescharacteristic, complemented
59C2×C4×D332C2211yescharacteristic, complemented
60C2×D4×Dic83C2211yescharacteristic
61C2×#14581754C2211yescharacteristic, complemented
62C2×C4×C22⋊D83C2211yescharacteristic
63C2×C4×C22⋊D83C2211yescharacteristic, complemented
64C2×C4×C22⋊D83C2211yescharacteristic, complemented
65C2×C4×C22⋊D83C2211yescharacteristic, complemented
66C2×(C22⋊D83)⋊C4C2211yescharacteristic
67C2×(C22⋊D83)⋊C4C2211yescharacteristic, complemented
68C4×D4×D83—28no—
69C2×C4⋊C4×D83C2211yescharacteristic, complemented
70C22×(C2×D83)⋊C4C2211yescharacteristic
71C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
72C22×(C2×D83)⋊C4C2211yescharacteristic, complemented
73C2×C22⋊C4×D83C2211yescharacteristic
74C2×C22⋊C4×D83C2211yescharacteristic, complemented
75C2×C42×D83C2211yescharacteristic, complemented
76#19127643C2211yescharacteristic, complemented
77#19127642C2211yescharacteristic, complemented
78#19127636C2211yescharacteristic, complemented
79#19127636C2211yescharacteristic, complemented
80#19127635C2211yescharacteristic, complemented
81#19127630C2211yescharacteristic, complemented
82#19127630C2211yescharacteristic, complemented
83#19127629C2211yescharacteristic, complemented
84#19127625C2211yescharacteristic, complemented
85#19127624C2211yescharacteristic, complemented
86#19127623C2211yescharacteristic, complemented
87#19127623C2211yescharacteristic, complemented
88#19127619C2211yescharacteristic, complemented
89#19127619C2211yescharacteristic, complemented
90#19127619C2211yescharacteristic, complemented
91#19127618C2211yescharacteristic, complemented
92#19127618C2211yescharacteristic, complemented
93#19127617C2211yescharacteristic, complemented
94#19127616C2211yescharacteristic, complemented
95#19127616C2211yescharacteristic, complemented
96#19127616C2211yescharacteristic, complemented
97#19127614C2211yescharacteristic, complemented
98#19127613C2211yescharacteristic, complemented
99#19127611C2211yescharacteristic
100#19127611C2211yescharacteristic
101#19127610C2211yescharacteristic
102#19127610C2211yescharacteristic
103#19127610C2211yescharacteristic, complemented
104#19127610C2211yescharacteristic, complemented
105#19127610C2211yescharacteristic, complemented
106#19127609C2211yescharacteristic, complemented
107#19127609C2211yescharacteristic, complemented
108#19127605C2211yescharacteristic, complemented
109#19127601C2211yescharacteristic, complemented
110#19127601C2211yescharacteristic, complemented
111#19127601C2211yescharacteristic, complemented
112#19127595C2211yescharacteristic, complemented
113#19127592C2211yescharacteristic, complemented
114#19127592C2211yescharacteristic, complemented
115#19127591C2211yescharacteristic, complemented
116#19127591C2211yescharacteristic, complemented
117#19127591C2211yescharacteristic, complemented
118#19127591C2211yescharacteristic, complemented
119#19127590C2211yescharacteristic, complemented
120#19127590C2211yescharacteristic, complemented
121#19127590C2211yescharacteristic, complemented
122#19127588C2211yescharacteristic, complemented
123#19127583C2211yescharacteristic, complemented
124#19127583C2211yescharacteristic, complemented
125#19127583C2211yescharacteristic, complemented
126#19127581C2211yescharacteristic
127#19127581C2211yescharacteristic, complemented
128#19127580C2211yescharacteristic
129#19127580C2211yescharacteristic
130#19127580C2211yescharacteristic, complemented
131#19127580C2211yescharacteristic, complemented
132#19127579C2211yescharacteristic
133#19127579C2211yescharacteristic
134#19127579C2211yescharacteristic
135#19127579C2211yescharacteristic
136#19127579C2211yescharacteristic
137#19127579C2211yescharacteristic
138#19127579C2211yescharacteristic
139#19127579C2211yescharacteristic
140#19127579C2211yescharacteristic, complemented
141#19127579C2211yescharacteristic, complemented
142#19127579C2211yescharacteristic, complemented
143#19127579C2211yescharacteristic, complemented
144#19127579C2211yescharacteristic, complemented
145#19127578C2211yescharacteristic, complemented
146#19127577C2211yescharacteristic, complemented
147#19127577C2211yescharacteristic, complemented
148#19127577C2211yescharacteristic, complemented
149#19127577C2211yescharacteristic, complemented
150#19127575C2211yescharacteristic, complemented
151#19127574C2211yescharacteristic, complemented
152#19127574C2211yescharacteristic, complemented
153#19127573C2211yescharacteristic, complemented
154#19127573C2211yescharacteristic, complemented
155#19127573C2211yescharacteristic, complemented
156#19127572C2211yescharacteristic, complemented
157#19127572C2211yescharacteristic, complemented
158#19127572C2211yescharacteristic, complemented
159#19127572C2211yescharacteristic, complemented
160#19127568C2211yescharacteristic, complemented
161#19127565C2211yescharacteristic, complemented
162#19127563C2211yescharacteristic, complemented
163#19127563C2211yescharacteristic, complemented
164#19127560C2211yescharacteristic, complemented
165#19127560C2211yescharacteristic, complemented
166#19127559C2211yescharacteristic, complemented
167#19127556C2211yescharacteristic
168#19127556C2211yescharacteristic, complemented
169#19127556C2211yescharacteristic, complemented
170C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
171C4×(C2×D83)⋊C4C2211yescharacteristic, complemented
172C4×C22⋊Dic83C2211yescharacteristic, complemented
173C2×C83⋊#95C2211yescharacteristic, complemented
174C2×#121×C83C2211yescharacteristic
175C2×C4×D4×C83C2211yescharacteristic
176C2×C4×D4×C83C2211yescharacteristic, complemented
177#388×C83C2211yescharacteristic, complemented
178#388×C83C2211yescharacteristic, complemented
179#387×C83C2211yescharacteristic, complemented
180#387×C83C2211yescharacteristic, complemented
181#386×C83C2211yescharacteristic
182#386×C83C2211yescharacteristic, complemented
183#386×C83C2211yescharacteristic, complemented
184#386×C83C2211yescharacteristic, complemented
185#385×C83C2211yescharacteristic, complemented
186#385×C83C2211yescharacteristic, complemented
187#380×C83C2211yescharacteristic, complemented
188C2×#95×C83C2211yescharacteristic, complemented
189C24×D83C2311yescharacteristic
190C24×D83C2311yescharacteristic
191C24×D83C2311yescharacteristic
192C22×Dic166C2311yescharacteristic
193C22×D332—24no—
194C22×D332—42no—
195C22×D332—42no—
196C22×D332C2311yescharacteristic
197C22×D332C2311yescharacteristic
198C22×D332C2311yescharacteristic
199C22×D332C2311yescharacteristic
200C22×D332C2311yescharacteristic
201C22×D332C2311yescharacteristic
202C22×D332C2311yescharacteristic
203C22×C22⋊D83C2311yescharacteristic
204C22×C22⋊D83C2311yescharacteristic
205C22×C22⋊D83C2311yescharacteristic
206C22×C22⋊D83C2311yescharacteristic
207C22×C22⋊D83C2311yescharacteristic
208C22×C22⋊D83C2311yescharacteristic
209C22×C22⋊D83C2311yescharacteristic
210C22×C22⋊D83C2311yescharacteristic
211C22×C22⋊D83C2311yescharacteristic
212C2×D4×D83—24no—
213C2×D4×D83—24no—
214C2×D4×D83—24no—
215C23×Dic83C2311yescharacteristic
216C23×Dic83C2311yescharacteristic
217C23×Dic83C2311yescharacteristic
218C22×C4×D83—24no—
219C22×C4×D83—24no—
220C22×C4×D83—42no—
221C22×C4×D83—42no—
222C22×C4×D83—42no—
223C22×C4×D83—42no—
224C22×C4×D83C2311yescharacteristic
225C22×C4×D83C2311yescharacteristic
226C22×C4×D83C2311yescharacteristic
227C22×C4×D83C2311yescharacteristic
228C22×C4×D83C2311yescharacteristic
229C22×C4×D83C2311yescharacteristic
230C22×C4×D83C2311yescharacteristic
231C22×C4×D83C2311yescharacteristic
232C22×C4×D83C2311yescharacteristic
233#14581787—24no—
234#14581786—24no—
235#14581780—24no—
236#14581778—24no—
237#14581777—24no—
238#14581777—42no—
239#14581775—24no—
240#14581770—42no—
241#14581769—24no—
242#14581766—24no—
243#14581765—24no—
244#14581765—42no—
245#14581765—42no—
246#14581764—24no—
247#14581764—42no—
248#14581762—24no—
249#14581762—42no—
250#14581762—42no—
251#14581760—24no—
252#14581760—24no—
253#14581760—24no—
254#14581760—42no—
255C4×D332—24no—
256D4×Dic83—24no—
257#14581754—24no—
258C4×C22⋊D83—24no—
259C4×C22⋊D83—42no—
260C4×C22⋊D83—42no—
261C4×C22⋊D83D418yescomplemented
262(C22⋊D83)⋊C4—24no—
263(C22⋊D83)⋊C4—24no—
264C2×C4⋊Dic83C2311yescharacteristic
265C2×C4⋊Dic83C2311yescharacteristic
266C2×Dic83⋊C4C2311yescharacteristic
267C2×Dic83⋊C4C2311yescharacteristic
268C2×Dic83⋊C4C2311yescharacteristic
269C2×Dic83⋊C4C2311yescharacteristic
270C2×Dic83⋊C4C2311yescharacteristic
271C2×Dic83⋊C4C2311yescharacteristic
272C2×Dic83⋊C4C2311yescharacteristic
273C2×Dic83⋊C4C2311yescharacteristic
274C2×Dic83⋊C4C2311yescharacteristic
275C2×Dic83⋊C4C2311yescharacteristic
276C2×Dic83⋊C4C2311yescharacteristic
277C2×Dic83⋊C4C2311yescharacteristic
278C2×Dic83⋊C4C2311yescharacteristic
279C4⋊C4×D83—24no—
280C2×C22⋊Dic83C2311yescharacteristic
281C2×C22⋊Dic83C2311yescharacteristic
282C2×C22⋊Dic83C2311yescharacteristic
283C2×C22⋊Dic83C2311yescharacteristic
284C2×C22⋊Dic83C2311yescharacteristic
285C2×C22⋊Dic83C2311yescharacteristic
286C2×C22⋊Dic83C2311yescharacteristic
287C2×C22⋊Dic83C2311yescharacteristic
288C2×C22⋊Dic83C2311yescharacteristic
289C2×(C2×D83)⋊C4—24no—
290C2×(C2×D83)⋊C4—42no—
291C2×(C2×D83)⋊C4—42no—
292C2×(C2×D83)⋊C4C2311yescharacteristic
293C2×(C2×D83)⋊C4C2311yescharacteristic
294C2×(C2×D83)⋊C4C2311yescharacteristic
295C2×(C2×D83)⋊C4C2311yescharacteristic
296C2×(C2×D83)⋊C4C2311yescharacteristic
297C2×(C2×D83)⋊C4C2311yescharacteristic
298C2×(C2×D83)⋊C4C2311yescharacteristic
299C2×(C2×D83)⋊C4C2311yescharacteristic
300C2×(C2×D83)⋊C4C2311yescharacteristic
301C2×(C2×D83)⋊C4C2311yescharacteristic
302C2×(C2×D83)⋊C4C2311yescharacteristic
303C2×(C2×D83)⋊C4C2311yescharacteristic
304C2×(C2×D83)⋊C4C2311yescharacteristic
305C2×(C2×D83)⋊C4C2311yescharacteristic
306C2×(C2×D83)⋊C4C2311yescharacteristic
307C2×(C2×D83)⋊C4C2311yescharacteristic
308C2×(C2×D83)⋊C4C2311yescharacteristic
309C2×(C2×D83)⋊C4C2311yescharacteristic
310C2×(C2×D83)⋊C4C2311yescharacteristic
311C2×(C2×D83)⋊C4C2311yescharacteristic
312C2×(C2×D83)⋊C4C2311yescharacteristic
313C2×(C2×D83)⋊C4C2311yescharacteristic
314C2×(C2×D83)⋊C4C2311yescharacteristic
315C2×(C2×D83)⋊C4C2311yescharacteristic
316C2×(C2×D83)⋊C4C2311yescharacteristic
317C2×(C2×D83)⋊C4C2311yescharacteristic
318C2×(C2×D83)⋊C4C2311yescharacteristic
319C2×(C2×D83)⋊C4C2311yescharacteristic
320C2×(C2×D83)⋊C4C2311yescharacteristic
321C2×(C2×D83)⋊C4C2311yescharacteristic
322C2×(C2×D83)⋊C4C2311yescharacteristic
323C2×(C2×D83)⋊C4C2311yescharacteristic
324C2×(C2×D83)⋊C4C2311yescharacteristic
325C2×(C2×D83)⋊C4C2311yescharacteristic
326C2×(C2×D83)⋊C4C2311yescharacteristic
327C2×(C2×D83)⋊C4C2311yescharacteristic
328C2×(C2×D83)⋊C4C2311yescharacteristic
329C22⋊C4×D83—24no—
330C22⋊C4×D83—24no—
331C2×C4×Dic83C2311yescharacteristic
332C2×C4×Dic83C2311yescharacteristic
333C2×C4×Dic83C2311yescharacteristic
334C2×C4×Dic83C2311yescharacteristic
335C2×C4×Dic83C2311yescharacteristic
336C42×D83—24no—
337C83⋊#95C2311yescharacteristic
338C83⋊#95C2311yescharacteristic
339C83⋊#95C2311yescharacteristic
340C83⋊#95C2311yescharacteristic
341C83⋊#95C2311yescharacteristic
342C83⋊#95C2311yescharacteristic
343C83⋊#95C2311yescharacteristic
344C83⋊#95C2311yescharacteristic
345C83⋊#95C2311yescharacteristic
346C83⋊#95C2311yescharacteristic
347C83⋊#95C2311yescharacteristic
348C83⋊#95C2311yescharacteristic
349C83⋊#95C2311yescharacteristic
350C83⋊#95C2311yescharacteristic
351C83⋊#95C2311yescharacteristic
352C83⋊#95C2311yescharacteristic
353C83⋊#95C2311yescharacteristic
354C83⋊#95C2311yescharacteristic
355C83⋊#95C2311yescharacteristic
356C83⋊#95C2311yescharacteristic
357C83⋊#95C2311yescharacteristic
358C83⋊#95C2311yescharacteristic
359C22×D4×C83C2311yescharacteristic
360C22×D4×C83C2311yescharacteristic
361C22×D4×C83C2311yescharacteristic
362C23×C4×C83C2311yescharacteristic
363C23×C4×C83C2311yescharacteristic
364C23×C4×C83C2311yescharacteristic
365C23×C4×C83C2311yescharacteristic
366C23×C4×C83C2311yescharacteristic
367#121×C83—24no—
368C4×D4×C83—24no—
369C4×D4×C83—24no—
370C2×C4⋊C4×C83C2311yescharacteristic
371C2×C4⋊C4×C83C2311yescharacteristic
372C2×C4⋊C4×C83C2311yescharacteristic
373C2×C4⋊C4×C83C2311yescharacteristic
374C2×C4⋊C4×C83C2311yescharacteristic
375C2×C22⋊C4×C83C2311yescharacteristic
376C2×C22⋊C4×C83C2311yescharacteristic
377C2×C22⋊C4×C83C2311yescharacteristic
378C2×C22⋊C4×C83C2311yescharacteristic
379C2×C22⋊C4×C83C2311yescharacteristic
380C2×C22⋊C4×C83C2311yescharacteristic
381C2×C22⋊C4×C83C2311yescharacteristic
382C2×C22⋊C4×C83C2311yescharacteristic
383C2×C22⋊C4×C83C2311yescharacteristic
384C2×C22⋊C4×C83C2311yescharacteristic
385C2×C42×C83C2311yescharacteristic
386C2×C42×C83C2311yescharacteristic
387#95×C83C2311yescharacteristic
388#95×C83C2311yescharacteristic
389#95×C83C2311yescharacteristic
390#95×C83C2311yescharacteristic
391#95×C83C2311yescharacteristic
392#95×C83C2311yescharacteristic
393#95×C83C2311yescharacteristic
394#95×C83C2311yescharacteristic
395#95×C83C2311yescharacteristic
396#95×C83C2311yescharacteristic
397C23×D83—22no—
398C23×D83—22no—
399C23×D83—22no—
400C23×D83—22no—
401C23×D83—22no—
402C23×D83—22no—
403C23×D83—22no—
404C23×D83—22no—
405C23×D83—22no—
406C23×D83—22no—
407C23×D83—22no—
408C23×D83—22no—
409C23×D83—41no—
410C23×D83—41no—
411C23×D83—41no—
412C23×D83—41no—
413C23×D83—41no—
414C23×D83—41no—
415C23×D83—41no—
416C23×D83—41no—
417C23×D83#4114yes—
418C23×D83C2411yescharacteristic
419C23×D83C2411yescharacteristic
420C23×D83C2411yescharacteristic
421C23×D83C2411yescharacteristic
422C23×D83C2411yescharacteristic
423C2×Dic166—22no—
424C2×Dic166—41no—
425C2×Dic166—41no—
426C2×D332—22no—
427C2×D332—22no—
428C2×D332—22no—
429C2×D332—22no—
430C2×D332—22no—
431C2×D332—22no—
432C2×D332—22no—
433C2×D332—22no—
434C2×D332—22no—
435C2×D332—22no—
436C2×D332—22no—
437C2×D332—22no—
438C2×D332—22no—
439C2×D332—41no—
440C2×D332—41no—
441C2×D332—41no—
442C2×D332—41no—
443C2×D332—416no—
444C2×D332—41no—
445C2×D332—41no—
446C2×D332—41no—
447C2×D332—41no—
448C2×C22⋊D83—22no—
449C2×C22⋊D83—22no—
450C2×C22⋊D83—22no—
451C2×C22⋊D83—22no—
452C2×C22⋊D83—22no—
453C2×C22⋊D83—22no—
454C2×C22⋊D83—22no—
455C2×C22⋊D83—22no—
456C2×C22⋊D83—22no—
457C2×C22⋊D83—22no—
458C2×C22⋊D83—22no—
459C2×C22⋊D83—22no—
460C2×C22⋊D83—22no—
461C2×C22⋊D83—22no—
462C2×C22⋊D83—41no—
463C2×C22⋊D83—41no—
464C2×C22⋊D83—41no—
465C2×C22⋊D83—41no—
466C2×C22⋊D83—41no—
467C2×C22⋊D83—41no—
468C2×C22⋊D83—41no—
469C2×C22⋊D83—41no—
470C2×C22⋊D83—41no—
471C2×C22⋊D83—41no—
472C2×C22⋊D83—41no—
473C2×C22⋊D83—41no—
474C2×C22⋊D83C2×D414yes—
475D4×D83—232no—
476C22×Dic83—22no—
477C22×Dic83—22no—
478C22×Dic83—22no—
479C22×Dic83—22no—
480C22×Dic83—22no—
481C22×Dic83—41no—
482C22×Dic83—41no—
483C22×Dic83—41no—
484C22×Dic83—41no—
485C22×Dic83C2411yescharacteristic
486C22×Dic83C2411yescharacteristic
487C22×Dic83C2411yescharacteristic
488C22×Dic83C2411yescharacteristic
489C22×Dic83C2411yescharacteristic
490C22×Dic83C2411yescharacteristic
491C22×Dic83C2411yescharacteristic
492C22×Dic83C2411yescharacteristic
493C22×Dic83C2411yescharacteristic
494C22×Dic83C2411yescharacteristic
495C22×Dic83C2411yescharacteristic
496C2×C4×D83—22no—
497C2×C4×D83—22no—
498C2×C4×D83—22no—
499C2×C4×D83—22no—
500C2×C4×D83—22no—
501C2×C4×D83—22no—
502C2×C4×D83—22no—
503C2×C4×D83—22no—
504C2×C4×D83—22no—
505C2×C4×D83—22no—
506C2×C4×D83—22no—
507C2×C4×D83—22no—
508C2×C4×D83—22no—
509C2×C4×D83—22no—
510C2×C4×D83—22no—
511C2×C4×D83—22no—
512C2×C4×D83—22no—
513C2×C4×D83—416no—
514C2×C4×D83—416no—
515C2×C4×D83—41no—
516C2×C4×D83—41no—
517C2×C4×D83—41no—
518C2×C4×D83—41no—
519C2×C4×D83—41no—
520C2×C4×D83—41no—
521C2×C4×D83—41no—
522C2×C4×D83—41no—
523C2×C4×D83—41no—
524C2×C4×D83C2×D414yescomplemented
525C4⋊Dic83—22no—
526C4⋊Dic83—22no—
527Dic83⋊C4—22no—
528Dic83⋊C4—22no—
529Dic83⋊C4—22no—
530Dic83⋊C4—22no—
531Dic83⋊C4—22no—
532Dic83⋊C4—41no—
533Dic83⋊C4—41no—
534Dic83⋊C4—41no—
535Dic83⋊C4—41no—
536Dic83⋊C4—41no—
537Dic83⋊C4—41no—
538Dic83⋊C4—41no—
539Dic83⋊C4C2×D414yescomplemented
540C22⋊Dic83—22no—
541C22⋊Dic83—22no—
542C22⋊Dic83—22no—
543C22⋊Dic83—22no—
544C22⋊Dic83—22no—
545C22⋊Dic83—41no—
546C22⋊Dic83—41no—
547C22⋊Dic83—41no—
548C22⋊Dic83C2×D414yes—
549(C2×D83)⋊C4—22no—
550(C2×D83)⋊C4—22no—
551(C2×D83)⋊C4—22no—
552(C2×D83)⋊C4—22no—
553(C2×D83)⋊C4—22no—
554(C2×D83)⋊C4—22no—
555(C2×D83)⋊C4—22no—
556(C2×D83)⋊C4—22no—
557(C2×D83)⋊C4—22no—
558(C2×D83)⋊C4—22no—
559(C2×D83)⋊C4—22no—
560(C2×D83)⋊C4—22no—
561(C2×D83)⋊C4—22no—
562(C2×D83)⋊C4—22no—
563(C2×D83)⋊C4—22no—
564(C2×D83)⋊C4—22no—
565(C2×D83)⋊C4—22no—
566(C2×D83)⋊C4—22no—
567(C2×D83)⋊C4—22no—
568(C2×D83)⋊C4—22no—
569(C2×D83)⋊C4—22no—
570(C2×D83)⋊C4—22no—
571(C2×D83)⋊C4—41no—
572(C2×D83)⋊C4—41no—
573(C2×D83)⋊C4—41no—
574(C2×D83)⋊C4—41no—
575(C2×D83)⋊C4—41no—
576(C2×D83)⋊C4—41no—
577(C2×D83)⋊C4—41no—
578(C2×D83)⋊C4—41no—
579(C2×D83)⋊C4—41no—
580(C2×D83)⋊C4—41no—
581(C2×D83)⋊C4—41no—
582(C2×D83)⋊C4—41no—
583(C2×D83)⋊C4—41no—
584(C2×D83)⋊C4—41no—
585(C2×D83)⋊C4C2×D414yescomplemented
586C4×Dic83—22no—
587C4×Dic83—22no—
588C4×Dic83—41no—
589C4×Dic83—41no—
590C4×Dic83C2×D414yescomplemented
591C24×C83C2411yescharacteristic
592C24×C83C2411yescharacteristic
593C24×C83C2411yescharacteristic
594C2×D4×C83—22no—
595C2×D4×C83—22no—
596C2×D4×C83—22no—
597C2×D4×C83—22no—
598C2×D4×C83—22no—
599C2×D4×C83—22no—
600C2×D4×C83—41no—
601C2×D4×C83—41no—
602C2×D4×C83#4114yes—
603C22×C4×C83—22no—
604C22×C4×C83—22no—
605C22×C4×C83—22no—
606C22×C4×C83—22no—
607C22×C4×C83—41no—
608C22×C4×C83—41no—
609C22×C4×C83—41no—
610C22×C4×C83—41no—
611C22×C4×C83—41no—
612C22×C4×C83—41no—
613C22×C4×C83—41no—
614C22×C4×C83—41no—
615C22×C4×C83—41no—
616C22×C4×C83—41no—
617C22×C4×C83C2×D414yes—
618C22×C4×C83C2411yescharacteristic
619C22×C4×C83C2411yescharacteristic
620C22×C4×C83C2411yescharacteristic
621C22×C4×C83C2411yescharacteristic
622C22×C4×C83C2411yescharacteristic
623C22×C4×C83C2411yescharacteristic
624C22×C4×C83C2411yescharacteristic
625C22×C4×C83C2411yescharacteristic
626C22×C4×C83C2411yescharacteristic
627C22×C4×C83C2411yescharacteristic
628C22×C4×C83C2411yescharacteristic
629C22×C4×C83C2411yescharacteristic
630C4⋊C4×C83—22no—
631C4⋊C4×C83—22no—
632C4⋊C4×C83—22no—
633C4⋊C4×C83—41no—
634C4⋊C4×C83—41no—
635C22⋊C4×C83—22no—
636C22⋊C4×C83—22no—
637C22⋊C4×C83—22no—
638C22⋊C4×C83—22no—
639C22⋊C4×C83—22no—
640C22⋊C4×C83—22no—
641C22⋊C4×C83—41no—
642C22⋊C4×C83—41no—
643C22⋊C4×C83—41no—
644C22⋊C4×C83—41no—
645C42×C83—22no—
646C42×C83—22no—
647C23×C83—21no—
648C23×C83—21no—
649C23×C83—21no—
650C23×C83—21no—
651C23×C83—21no—
652C23×C83—21no—
653C23×C83—21no—
654C23×C83—21no—
655C23×C83—21no—
656C23×C83—21no—
657C23×C83—21no—
658C23×C83—21no—
659C23×C83—21no—
660C23×C83—21no—
661C23×C83—21no—
662C23×C83—21no—
663C23×C83—21no—
664C23×C83C22×D412yes—
665C23×C83C2×#4112yes—
666C23×C83C2×#4112yes—
667C23×C83C2×#4112yes—
668C23×C83C2511yescharacteristic
669C22×D83—21no—
670C22×D83—21no—
671C22×D83—21no—
672C22×D83—21no—
673C22×D83—28no—
674C22×D83—28no—
675C22×D83—21no—
676C22×D83—21no—
677C22×D83—21no—
678C22×D83—21no—
679C22×D83—21no—
680C22×D83—21no—
681C22×D83—21no—
682C22×D83—21no—
683C22×D83—21no—
684C22×D83—21no—
685C22×D83—21no—
686C22×D83—21no—
687C22×D83—28no—
688C22×D83—21no—
689C22×D83—21no—
690C22×D83—21no—
691C22×D83—21no—
692C22×D83—21no—
693C22×D83—21no—
694C22×D83—21no—
695C22×D83—21no—
696C22×D83—21no—
697C22×D83—21no—
698C22×D83—21no—
699C22×D83—21no—
700C22×D83—21no—
701C22×D83—21no—
702C22×D83—44no—
703C22×D83—44no—
704C22×D83—44no—
705C22×D83—44no—
706C22×D83—44no—
707C22×D83—44no—
708C22×D83—44no—
709C22×D83—44no—
710C22×D83—44no—
711C22×D83—44no—
712C22×D83—44no—
713C22×D83—44no—
714C22×D83—44no—
715C22×D83—44no—
716C22×D83—82no—
717C22×D83—82no—
718C22×D83—82no—
719C22×D83—82no—
720C22×D83C22×D412yes—
721C22×D83C2×#4112yes—
722C22×D83C2×#4112yes—
723C22×D83H(5,𝔽2)12yes—
724C22×D83H(5,𝔽2)12yes—
725D4×C83—28no—
726D4×C83—44no—
727D4×C83—82no—
728C2×C4×C83—21no—
729C2×C4×C83—21no—
730C2×C4×C83—21no—
731C2×C4×C83—21no—
732C2×C4×C83—21no—
733C2×C4×C83—21no—
734C2×C4×C83—21no—
735C2×C4×C83—21no—
736C2×C4×C83—21no—
737C2×C4×C83—21no—
738C2×C4×C83—21no—
739C2×C4×C83—21no—
740C2×C4×C83—21no—
741C2×C4×C83—21no—
742C2×C4×C83—21no—
743C2×C4×C83—21no—
744C2×C4×C83—21no—
745C2×C4×C83—21no—
746C2×C4×C83—21no—
747C2×C4×C83—21no—
748C2×C4×C83—21no—
749C2×C4×C83—21no—
750C2×C4×C83—21no—
751C2×C4×C83—21no—
752C2×C4×C83—21no—
753C2×C4×C83—21no—
754C2×C4×C83—21no—
755C2×C4×C83—21no—
756C2×C4×C83—21no—
757C2×C4×C83—21no—
758C2×C4×C83—21no—
759C2×C4×C83—21no—
760C2×C4×C83—21no—
761C2×C4×C83—44no—
762C2×C4×C83—44no—
763C2×C4×C83—44no—
764C2×C4×C83—82no—
765C2×C4×C83—82no—
766C2×C4×C83C22×D412yes—
767C2×C4×C83C22×D412yes—
768C2×C4×C83C2×#4112yes—
769C22⋊D83—28no—
770C22⋊D83—28no—
771C22⋊D83—44no—
772C22⋊D83—44no—
773C22⋊D83—82no—
774C22⋊D83—82no—
775C22⋊D83—82no—
776C22⋊D83—82no—
777C22⋊D83—82no—
778C2×Dic83—21no—
779C2×Dic83—21no—
780C2×Dic83—21no—
781C2×Dic83—21no—
782C2×Dic83—21no—
783C2×Dic83—21no—
784C2×Dic83—21no—
785C2×Dic83—21no—
786C2×Dic83—21no—
787C2×Dic83—21no—
788C2×Dic83—21no—
789C2×Dic83—21no—
790C2×Dic83—21no—
791C2×Dic83—21no—
792C2×Dic83—21no—
793C2×Dic83—21no—
794C2×Dic83—21no—
795C2×Dic83—21no—
796C2×Dic83—21no—
797C2×Dic83—21no—
798C2×Dic83—21no—
799C2×Dic83—21no—
800C2×Dic83—21no—
801C2×Dic83—21no—
802C2×Dic83—21no—
803C2×Dic83—21no—
804C2×Dic83—21no—
805C2×Dic83—21no—
806C2×Dic83—21no—
807C2×Dic83—44no—
808C2×Dic83—44no—
809C2×Dic83—82no—
810C2×Dic83C22×D412yes—
811C2×Dic83C22×D412yes—
812C2×Dic83C22×D412yes—
813C2×Dic83H(5,𝔽2)12yes—
814D332—28no—
815D332—44no—
816D332—44no—
817D332—44no—
818D332—44no—
819D332—82no—
820D332—82no—
821C4×D83—28no—
822C4×D83—28no—
823C4×D83—44no—
824C4×D83—44no—
825C4×D83—44no—
826C4×D83—44no—
827C4×D83—44no—
828C4×D83—44no—
829C4×D83—44no—
830Dic166—82no—
831C22×C83—22no—
832C22×C83—22no—
833C22×C83—22no—
834C22×C83—22no—
835C22×C83—22no—
836C22×C83—22no—
837C22×C83—22no—
838C22×C83—22no—
839C22×C83—22no—
840C22×C83—41no—
841C22×C83—41no—
842C22×C83—41no—
843C22×C83—41no—
844C22×C83—41no—
845C22×C83—41no—
846C22×C83—41no—
847C22×C83—41no—
848C22×C83—41no—
849C22×C83—41no—
850C22×C83—41no—
851C22×C83#52514yes—
852C22×C83C23×D411yescharacteristic
853C22×C83C22×#4111yescharacteristic
854C22×C83C22×#4111yescharacteristic
855C22×C83C2×H(5,𝔽2)11yescharacteristic
856C22×C83C2×H(5,𝔽2)11yescharacteristic
857C22×C83C2×H(5,𝔽2)11yescharacteristic
858C22×C83#58511yescharacteristic
859C2×D83—22no—
860C2×D83—22no—
861C2×D83—22no—
862C2×D83—22no—
863C2×D83—22no—
864C2×D83—22no—
865C2×D83—22no—
866C2×D83—22no—
867C2×D83—22no—
868C2×D83—22no—
869C2×D83—22no—
870C2×D83—22no—
871C2×D83—416no—
872C2×D83—416no—
873C2×D83—41no—
874C2×D83—41no—
875C2×D83—41no—
876C2×D83—41no—
877C2×D83—41no—
878C2×D83—41no—
879C2×D83—41no—
880C2×D83—41no—
881C2×D83—41no—
882C2×D83—41no—
883C2×D83—41no—
884C2×D83—41no—
885C2×D83—41no—
886C2×D83—41no—
887C2×D83—41no—
888C2×D83—41no—
889C2×D83—41no—
890C2×D83—41no—
891C2×D83—41no—
892C2×D83—41no—
893C2×D83—41no—
894C2×D83—41no—
895C2×D83—88no—
896C2×D83#53814yescomplemented
897C4×C83—22no—
898C4×C83—22no—
899C4×C83—22no—
900C4×C83—41no—
901C4×C83—41no—
902C4×C83—41no—
903C4×C83—41no—
904C4×C83—41no—
905C4×C83—41no—
906C4×C83—41no—
907C4×C83—41no—
908C4×C83—41no—
909Dic83—22no—
910Dic83—22no—
911Dic83—22no—
912Dic83—22no—
913Dic83—41no—
914Dic83—41no—
915Dic83—41no—
916Dic83—41no—
917Dic83—41no—
918Dic83—41no—
919Dic83—41no—
920#34990—831nomaximal, Sylow
921C2×C83—24no—
922C2×C83—42no—
923C2×C83—81no—
924C2×C83C2×#52511yescharacteristic
925C2×C83C2×#53811yescharacteristic
926C2×C83#345911yescharacteristic
927C2×C83#348411yescharacteristic
928C2×C83#348811yescharacteristic
929C2×C83#351311yescharacteristic
930C2×C83#351911yescharacteristic
931D83—24no—
932D83—42no—
933D83—42no—
934D83—81no—
935D83—81no—
936C2×#538—831no—
937C22×C4×D4—831no—
938#2852—831no—
939#2850—831no—
940#2849—831no—
941#2847—831no—
942#2636—831no—
943#2635—831no—
944#2631—831no—
945#2630—831no—
946#2481—831no—
947#2472—831no—
948#2467—831no—
949#2459—831no—
950#2456—831no—
951#2456—831no—
952#2450—831no—
953#2444—831no—
954#2443—831no—
955#2437—831no—
956#2424—831no—
957#2424—831no—
958#2418—831no—
959#2410—831no—
960#2410—831no—
961#2403—831no—
962#2325D8311yescharacteristic, complemented
963#2321—831no—
964#2318—831no—
965C4×#120—831no—
966C2×#386—831no—
967C83#3499011yescharacteristic, complemented, Sylow
968C23×D4—831no—
969C23×D4—831no—
970C24×C4—831no—
971C24×C4—831no—
972#538—1668no—
973C2×#126—831no—
974C2×#126—831no—
975C2×#124—831no—
976C2×#124—831no—
977C2×#123—831no—
978C2×#123—831no—
979C2×#123—831no—
980C2×C22⋊Q8—831no—
981C2×C22⋊Q8—831no—
982C2×#121—831no—
983C2×#121—831no—
984C2×#121—831no—
985C2×#121—831no—
986C2×#121—831no—
987C2×#121—831no—
988C2×#121C2×D8311yescharacteristic
989C2×#120—831no—
990C2×#120—831no—
991C2×#120—831no—
992C2×#120—831no—
993C2×#120—831no—
994C2×#120—831no—
995C2×#120—831no—
996C2×C4×D4—831no—
997C2×C4×D4—831no—
998C2×C4×D4—831no—
999C2×C4×D4—831no—
1000C2×C4×D4—831no—
1001C2×C4×D4—831no—
1002C2×C4×D4—831no—
1003C2×C4×D4—831no—
1004C2×C4×D4—831no—
1005C2×C4×D4—1668no—
1006C2×C4×D4C2×D8311yescharacteristic
1007C2×C4×D4C2×D8311yescharacteristic, complemented
1008C22×C4⋊C4—831no—
1009C22×C22⋊C4—831no—
1010C22×C22⋊C4—831no—
1011C22×C22⋊C4—831no—
1012C22×C22⋊C4—831no—
1013C22×C22⋊C4—831no—
1014C22×C42—831no—
1015#400—831no—
1016#400—831no—
1017#399—831no—
1018#399—831no—
1019#398—831no—
1020#397—831no—
1021#397—831no—
1022#397—831no—
1023#396—831no—
1024#396—831no—
1025#396—831no—
1026#396—831no—
1027#394—831no—
1028#394—831no—
1029#394—831no—
1030#394—831no—
1031#394—831no—
1032#394—831no—
1033#394—831no—
1034#394—831no—
1035#394—831no—
1036#393—831no—
1037#393—831no—
1038#392—831no—
1039#392—831no—
1040#392—831no—
1041#392—831no—
1042#392—831no—
1043#392—831no—
1044#392—831no—
1045#392—831no—
1046#392—831no—
1047#391—831no—
1048#390—831no—
1049#390—831no—
1050#390—831no—
1051#388—831no—
1052#388—831no—
1053#388—831no—
1054#388—831no—
1055#388—831no—
1056#388—831no—
1057#388—831no—
1058#388—831no—
1059#388—831no—
1060#388—831no—
1061#388C2×D8311yescharacteristic, complemented
1062#388C2×D8311yescharacteristic, complemented
1063#387—831no—
1064#387—831no—
1065#387—831no—
1066#387—831no—
1067#387C2×D8311yescharacteristic, complemented
1068#387C2×D8311yescharacteristic, complemented
1069#386—831no—
1070#386—831no—
1071#386—831no—
1072#386—831no—
1073#386—831no—
1074#386—831no—
1075#386—831no—
1076#386—831no—
1077#386—831no—
1078#386—831no—
1079#386—831no—
1080#386—831no—
1081#386—831no—
1082#386—831no—
1083#386—831no—
1084#386—831no—
1085#386—831no—
1086#386—831no—
1087#386—831no—
1088#386—831no—
1089#386—831no—
1090#386—831no—
1091#386—831no—
1092#386—831no—
1093#386C2×D8311yescharacteristic
1094#386C2×D8311yescharacteristic, complemented
1095#386C2×D8311yescharacteristic, complemented
1096#386C2×D8311yescharacteristic, complemented
1097#385—831no—
1098#385—831no—
1099#385—831no—
1100#385—831no—
1101#385—831no—
1102#385—831no—
1103#385—831no—
1104#385—831no—
1105#385—831no—
1106#385—831no—
1107#385C2×D8311yescharacteristic, complemented
1108#385C2×D8311yescharacteristic, complemented
1109#383—831no—
1110#382—831no—
1111#381—831no—
1112#381—831no—
1113#380—831no—
1114#380—831no—
1115#380—831no—
1116#380C2×D8311yescharacteristic, complemented
1117#379—831no—
1118#379—831no—
1119#379—831no—
1120C4×C22⋊C4—831no—
1121C4×C22⋊C4—831no—
1122C4×C22⋊C4—831no—
1123C2×#95—831no—
1124C2×#95C2×D8311yescharacteristic, complemented
1125C25—831no—
1126C25—831no—
1127C25—831no—
1128C22×Q8—831no—
1129C22×D4—3322no—
1130C22×D4—3322no—
1131C22×D4—831no—
1132C22×D4—831no—
1133C22×D4—831no—
1134C22×D4—831no—
1135C22×D4—831no—
1136C22×D4—831no—
1137C22×D4—831no—
1138C22×D4—831no—
1139C22×D4—831no—
1140C22×D4—831no—
1141C22×D4—831no—
1142C22×D4—831no—
1143C22×D4—831no—
1144C22×D4—831no—
1145C22×D4—831no—
1146C22×D4—831no—
1147C22×D4—1664no—
1148C22×D4—1664no—
1149C22×D4—1664no—
1150C22×D4—1664no—
1151C22×D4C22×D8311yescharacteristic
1152C22×D4C22×D8311yescharacteristic
1153C22×D4C22×D8311yescharacteristic
1154C23×C4—3322no—
1155C23×C4—3322no—
1156C23×C4—3322no—
1157C23×C4—3322no—
1158C23×C4—831no—
1159C23×C4—831no—
1160C23×C4—831no—
1161C23×C4—831no—
1162C23×C4—831no—
1163C23×C4—831no—
1164C23×C4—831no—
1165C23×C4—831no—
1166C23×C4—831no—
1167C23×C4—831no—
1168C23×C4—831no—
1169C23×C4—831no—
1170C23×C4—1664no—
1171C23×C4—1664no—
1172C23×C4C22×D8311yescharacteristic
1173C23×C4C22×D8311yescharacteristic
1174C23×C4C22×D8311yescharacteristic
1175C23×C4C22×D8311yescharacteristic
1176C23×C4C22×D8311yescharacteristic
1177#126—1664no—
1178#126—1664no—
1179#124—1664no—
1180#124—1664no—
1181#123—3322no—
1182#123—1664no—
1183#123—1664no—
1184C22⋊Q8—3322no—
1185C22⋊Q8—1664no—
1186#121—24no—
1187#121—3322no—
1188#121—3322no—
1189#121—3322no—
1190#121—1664no—
1191#121—1664no—
1192#121—1664no—
1193#120—3322no—
1194#120—3322no—
1195#120—3322no—
1196#120—1664no—
1197#120—1664no—
1198#120—1664no—
1199#120—1664no—
1200C4×D4—24no—
1201C4×D4—24no—
1202C4×D4—3322no—
1203C4×D4—3322no—
1204C4×D4—838no—
1205C4×D4—1664no—
1206C4×D4—1664no—
1207C4×D4—1664no—
1208C4×D4—1664no—
1209C4×D4—1664no—
1210C4×D4—1664no—
1211C2×C4⋊C4—831no—
1212C2×C4⋊C4—831no—
1213C2×C4⋊C4—831no—
1214C2×C4⋊C4—831no—
1215C2×C4⋊C4—831no—
1216C2×C4⋊C4—831no—
1217C2×C4⋊C4—831no—
1218C2×C4⋊C4—831no—
1219C2×C4⋊C4—831no—
1220C2×C4⋊C4—831no—
1221C2×C4⋊C4—831no—
1222C2×C4⋊C4—831no—
1223C2×C4⋊C4—831no—
1224C2×C4⋊C4—831no—
1225C2×C4⋊C4—831no—
1226C2×C4⋊C4—1664no—
1227C2×C4⋊C4C22×D8311yescharacteristic
1228C2×C4⋊C4C22×D8311yescharacteristic
1229C2×C4⋊C4C22×D8311yescharacteristic
1230C2×C4⋊C4C22×D8311yescharacteristic
1231C2×C4⋊C4C22×D8311yescharacteristic
1232C2×C22⋊C4—3322no—
1233C2×C22⋊C4—3322no—
1234C2×C22⋊C4—831no—
1235C2×C22⋊C4—831no—
1236C2×C22⋊C4—831no—
1237C2×C22⋊C4—831no—
1238C2×C22⋊C4—831no—
1239C2×C22⋊C4—831no—
1240C2×C22⋊C4—831no—
1241C2×C22⋊C4—831no—
1242C2×C22⋊C4—831no—
1243C2×C22⋊C4—831no—
1244C2×C22⋊C4—831no—
1245C2×C22⋊C4—831no—
1246C2×C22⋊C4—831no—
1247C2×C22⋊C4—831no—
1248C2×C22⋊C4—831no—
1249C2×C22⋊C4—831no—
1250C2×C22⋊C4—831no—
1251C2×C22⋊C4—831no—
1252C2×C22⋊C4—831no—
1253C2×C22⋊C4—831no—
1254C2×C22⋊C4—831no—
1255C2×C22⋊C4—831no—
1256C2×C22⋊C4—831no—
1257C2×C22⋊C4—831no—
1258C2×C22⋊C4—831no—
1259C2×C22⋊C4—831no—
1260C2×C22⋊C4—831no—
1261C2×C22⋊C4—831no—
1262C2×C22⋊C4—831no—
1263C2×C22⋊C4—831no—
1264C2×C22⋊C4—831no—
1265C2×C22⋊C4—831no—
1266C2×C22⋊C4—831no—
1267C2×C22⋊C4—831no—
1268C2×C22⋊C4—831no—
1269C2×C22⋊C4—831no—
1270C2×C22⋊C4—831no—
1271C2×C22⋊C4—831no—
1272C2×C22⋊C4—831no—
1273C2×C22⋊C4—831no—
1274C2×C22⋊C4—831no—
1275C2×C22⋊C4—831no—
1276C2×C22⋊C4—831no—
1277C2×C22⋊C4—831no—
1278C2×C22⋊C4—831no—
1279C2×C22⋊C4—831no—
1280C2×C22⋊C4—1664no—
1281C2×C22⋊C4—1664no—
1282C2×C22⋊C4—1664no—
1283C2×C22⋊C4C22×D8311yescharacteristic
1284C2×C22⋊C4C22×D8311yescharacteristic
1285C2×C22⋊C4C22×D8311yescharacteristic
1286C2×C22⋊C4C22×D8311yescharacteristic
1287C2×C22⋊C4C22×D8311yescharacteristic
1288C2×C22⋊C4C22×D8311yescharacteristic
1289C2×C22⋊C4C22×D8311yescharacteristic
1290C2×C22⋊C4C22×D8311yescharacteristic
1291C2×C22⋊C4C22×D8311yescharacteristic
1292C2×C22⋊C4C22×D8311yescharacteristic
1293C2×C42—831no—
1294C2×C42—831no—
1295C2×C42—831no—
1296C2×C42—831no—
1297C2×C42—831no—
1298C2×C42—1664no—
1299C2×C42C22×D8311yescharacteristic
1300C2×C42C22×D8311yescharacteristic
1301#95—831no—
1302#95—831no—
1303#95—831no—
1304#95—831no—
1305#95—831no—
1306#95—831no—
1307#95—831no—
1308#95—831no—
1309#95—831no—
1310#95—831no—
1311#95—831no—
1312#95—831no—
1313#95—831no—
1314#95—831no—
1315#95—831no—
1316#95—831no—
1317#95—831no—
1318#95—831no—
1319#95—831no—
1320#95—831no—
1321#95—831no—
1322#95—831no—
1323#95C22×D8311yescharacteristic
1324#95C22×D8311yescharacteristic
1325#95C22×D8311yescharacteristic
1326#95C22×D8311yescharacteristic
1327#95C22×D8311yescharacteristic
1328#95C22×D8311yescharacteristic
1329#95C22×D8311yescharacteristic
1330#95C22×D8311yescharacteristic
1331#95C22×D8311yescharacteristic
1332#95C22×D8311yescharacteristic
1333C24—3321no—
1334C24—3321no—
1335C24—3321no—
1336C24—3321no—
1337C24—3321no—
1338C24—3321no—
1339C24—3321no—
1340C24—3321no—
1341C24—834no—
1342C24—831no—
1343C24—831no—
1344C24—831no—
1345C24—831no—
1346C24—831no—
1347C24—1662no—
1348C24—1662no—
1349C24—1662no—
1350C24—1662no—
1351C24—1662no—
1352C24—1662no—
1353C24—1662no—
1354C24—1662no—
1355C24—1662no—
1356C24—1662no—
1357C24—1662no—
1358C24—1662no—
1359C24C23×D8311yescharacteristic
1360C24C23×D8311yescharacteristic
1361C24C23×D8311yescharacteristic
1362C2×Q8—3321no—
1363C2×Q8—3321no—
1364C2×Q8—1662no—
1365C2×D4—22no—
1366C2×D4—22no—
1367C2×D4—22no—
1368C2×D4—22no—
1369C2×D4—22no—
1370C2×D4—22no—
1371C2×D4—41no—
1372C2×D4—41no—
1373C2×D4—3321no—
1374C2×D4—3321no—
1375C2×D4—3321no—
1376C2×D4—3321no—
1377C2×D4—3321no—
1378C2×D4—3321no—
1379C2×D4—3321no—
1380C2×D4—3321no—
1381C2×D4—33216no—
1382C2×D4—3321no—
1383C2×D4—3321no—
1384C2×D4—3321no—
1385C2×D4—3321no—
1386C2×D4—3321no—
1387C2×D4—3321no—
1388C2×D4—3321no—
1389C2×D4—3321no—
1390C2×D4—3321no—
1391C2×D4—3321no—
1392C2×D4—3321no—
1393C2×D4—3321no—
1394C2×D4—834no—
1395C2×D4—1662no—
1396C2×D4—1662no—
1397C2×D4—1662no—
1398C2×D4—1662no—
1399C2×D4—1662no—
1400C2×D4—1662no—
1401C2×D4—1662no—
1402C2×D4—1662no—
1403C2×D4—1662no—
1404C2×D4—1662no—
1405C2×D4—1662no—
1406C2×D4—1662no—
1407C2×D4—1662no—
1408C2×D4—1662no—
1409C2×D4—1662no—
1410C2×D4—16632no—
1411C2×D4—1662no—
1412C2×D4—1662no—
1413C2×D4—1662no—
1414C2×D4—1662no—
1415C2×D4—1662no—
1416C2×D4—1662no—
1417C2×D4—1662no—
1418C2×D4—1662no—
1419C2×D4—1662no—
1420C2×D4—1662no—
1421C2×D4—1662no—
1422C2×D4—1662no—
1423C2×D4#1305059014yes—
1424C22×C4—22no—
1425C22×C4—22no—
1426C22×C4—22no—
1427C22×C4—22no—
1428C22×C4—41no—
1429C22×C4—41no—
1430C22×C4—41no—
1431C22×C4—41no—
1432C22×C4—41no—
1433C22×C4—41no—
1434C22×C4—41no—
1435C22×C4—41no—
1436C22×C4—41no—
1437C22×C4—41no—
1438C22×C4—3321no—
1439C22×C4—3321no—
1440C22×C4—3321no—
1441C22×C4—3321no—
1442C22×C4—3321no—
1443C22×C4—3321no—
1444C22×C4—3321no—
1445C22×C4—3321no—
1446C22×C4—3321no—
1447C22×C4—33216no—
1448C22×C4—33216no—
1449C22×C4—3321no—
1450C22×C4—3321no—
1451C22×C4—3321no—
1452C22×C4—3321no—
1453C22×C4—834no—
1454C22×C4—831no—
1455C22×C4—831no—
1456C22×C4—831no—
1457C22×C4—831no—
1458C22×C4—831no—
1459C22×C4—831no—
1460C22×C4—831no—
1461C22×C4—831no—
1462C22×C4—831no—
1463C22×C4—831no—
1464C22×C4—831no—
1465C22×C4—1662no—
1466C22×C4—1662no—
1467C22×C4—1662no—
1468C22×C4—1662no—
1469C22×C4—1662no—
1470C22×C4—1662no—
1471C22×C4—1662no—
1472C22×C4—1662no—
1473C22×C4—1662no—
1474C22×C4—1662no—
1475C22×C4—1662no—
1476C22×C4—1662no—
1477C22×C4—1662no—
1478C22×C4—1662no—
1479C22×C4—1662no—
1480C22×C4—1662no—
1481C22×C4—1662no—
1482C22×C4—1662no—
1483C22×C4—1662no—
1484C22×C4—1662no—
1485C22×C4—1662no—
1486C22×C4—1662no—
1487C22×C4D4×D8314yes—
1488C22×C4C23×D8311yescharacteristic
1489C22×C4C23×D8311yescharacteristic
1490C22×C4C23×D8311yescharacteristic
1491C22×C4C23×D8311yescharacteristic
1492C22×C4C23×D8311yescharacteristic
1493C22×C4C23×D8311yescharacteristic
1494C22×C4C23×D8311yescharacteristic
1495C22×C4C23×D8311yescharacteristic
1496C22×C4C23×D8311yescharacteristic
1497C22×C4C23×D8311yescharacteristic
1498C22×C4C23×D8311yescharacteristic
1499C22×C4C23×D8311yescharacteristic
1500C4⋊C4—22no—
1501C4⋊C4—22no—
1502C4⋊C4—22no—
1503C4⋊C4—41no—
1504C4⋊C4—41no—
1505C4⋊C4—3321no—
1506C4⋊C4—3321no—
1507C4⋊C4—3321no—
1508C4⋊C4—3321no—
1509C4⋊C4—3321no—
1510C4⋊C4—3321no—
1511C4⋊C4—3321no—
1512C4⋊C4—834no—
1513C4⋊C4—1662no—
1514C4⋊C4—1662no—
1515C4⋊C4—1662no—
1516C4⋊C4—1662no—
1517C4⋊C4—1662no—
1518C4⋊C4—1662no—
1519C4⋊C4—1662no—
1520C22⋊C4—22no—
1521C22⋊C4—22no—
1522C22⋊C4—22no—
1523C22⋊C4—22no—
1524C22⋊C4—22no—
1525C22⋊C4—22no—
1526C22⋊C4—41no—
1527C22⋊C4—41no—
1528C22⋊C4—41no—
1529C22⋊C4—41no—
1530C22⋊C4—3321no—
1531C22⋊C4—3321no—
1532C22⋊C4—3321no—
1533C22⋊C4—3321no—
1534C22⋊C4—3321no—
1535C22⋊C4—3321no—
1536C22⋊C4—3321no—
1537C22⋊C4—3321no—
1538C22⋊C4—3321no—
1539C22⋊C4—3321no—
1540C22⋊C4—3321no—
1541C22⋊C4—3321no—
1542C22⋊C4—3321no—
1543C22⋊C4—3321no—
1544C22⋊C4—3321no—
1545C22⋊C4—3321no—
1546C22⋊C4—3321no—
1547C22⋊C4—834no—
1548C22⋊C4—834no—
1549C22⋊C4—1662no—
1550C22⋊C4—1662no—
1551C22⋊C4—1662no—
1552C22⋊C4—1662no—
1553C22⋊C4—1662no—
1554C22⋊C4—1662no—
1555C22⋊C4—1662no—
1556C22⋊C4—1662no—
1557C22⋊C4—1662no—
1558C22⋊C4—1662no—
1559C22⋊C4—1662no—
1560C22⋊C4—1662no—
1561C22⋊C4—1662no—
1562C22⋊C4—1662no—
1563C22⋊C4—1662no—
1564C22⋊C4—1662no—
1565C22⋊C4—1662no—
1566C22⋊C4—1662no—
1567C22⋊C4—1662no—
1568C22⋊C4—1662no—
1569C22⋊C4—1662no—
1570C22⋊C4—1662no—
1571C22⋊C4—1662no—
1572C22⋊C4—1662no—
1573C22⋊C4—1662no—
1574C22⋊C4—1662no—
1575C22⋊C4—1662no—
1576C42—22no—
1577C42—22no—
1578C42—3321no—
1579C42—3321no—
1580C42—834no—
1581C42—1662no—
1582C42—1662no—
1583C23—21no—
1584C23—21no—
1585C23—21no—
1586C23—21no—
1587C23—21no—
1588C23—21no—
1589C23—21no—
1590C23—21no—
1591C23—21no—
1592C23—21no—
1593C23—21no—
1594C23—21no—
1595C23—21no—
1596C23—21no—
1597C23—21no—
1598C23—21no—
1599C23—21no—
1600C23—3324no—
1601C23—3324no—
1602C23—3324no—
1603C23—3324no—
1604C23—3324no—
1605C23—3324no—
1606C23—3324no—
1607C23—3324no—
1608C23—3324no—
1609C23—3324no—
1610C23—3324no—
1611C23—3324no—
1612C23—3324no—
1613C23—3324no—
1614C23—832no—
1615C23—832no—
1616C23—832no—
1617C23—832no—
1618C23—832no—
1619C23—6642no—
1620C23—6642no—
1621C23—6642no—
1622C23—6642no—
1623C23—1668no—
1624C23—1668no—
1625C23—1661no—
1626C23—1661no—
1627C23—1661no—
1628C23—1661no—
1629C23—1661no—
1630C23—1661no—
1631C23—1661no—
1632C23—1661no—
1633C23—1661no—
1634C23—1661no—
1635C23—1661no—
1636C23—1661no—
1637C23—1661no—
1638C23—1661no—
1639C23—1668no—
1640C23—1661no—
1641C23—1661no—
1642C23—1661no—
1643C23—1661no—
1644C23—1661no—
1645C23—1661no—
1646C23—1661no—
1647C23—1661no—
1648C23—1661no—
1649C23—1661no—
1650C23—1661no—
1651C23—1661no—
1652C23—1661no—
1653C23—1661no—
1654C23—1661no—
1655C23—1661no—
1656C23C2×D4×D8312yes—
1657C23#41×D8312yes—
1658C23C2×#1305059012yes—
1659C23C2×#1305059012yes—
1660C23C24×D8311yescharacteristic
1661Q8—6642no—
1662D4—28no—
1663D4—44no—
1664D4—82no—
1665D4—3324no—
1666D4—3324no—
1667D4—3324no—
1668D4—3324no—
1669D4—3324no—
1670D4—3324no—
1671D4—6642no—
1672D4—6642no—
1673D4—6642no—
1674D4—6642no—
1675D4—6642no—
1676D4—6642no—
1677D4—6642no—
1678D4—1668no—
1679D4—1668no—
1680D4—1668no—
1681C2×C4—21no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—21no—
1689C2×C4—21no—
1690C2×C4—21no—
1691C2×C4—21no—
1692C2×C4—21no—
1693C2×C4—21no—
1694C2×C4—21no—
1695C2×C4—21no—
1696C2×C4—21no—
1697C2×C4—21no—
1698C2×C4—21no—
1699C2×C4—21no—
1700C2×C4—21no—
1701C2×C4—21no—
1702C2×C4—21no—
1703C2×C4—21no—
1704C2×C4—21no—
1705C2×C4—21no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—44no—
1715C2×C4—44no—
1716C2×C4—44no—
1717C2×C4—82no—
1718C2×C4—82no—
1719C2×C4—3324no—
1720C2×C4—3324no—
1721C2×C4—3324no—
1722C2×C4—3324no—
1723C2×C4—3324no—
1724C2×C4—3324no—
1725C2×C4—3324no—
1726C2×C4—3324no—
1727C2×C4—3324no—
1728C2×C4—832no—
1729C2×C4—832no—
1730C2×C4—832no—
1731C2×C4—832no—
1732C2×C4—6642no—
1733C2×C4—1668no—
1734C2×C4—1668no—
1735C2×C4—1661no—
1736C2×C4—1661no—
1737C2×C4—1661no—
1738C2×C4—1661no—
1739C2×C4—1661no—
1740C2×C4—1661no—
1741C2×C4—1661no—
1742C2×C4—1661no—
1743C2×C4—1661no—
1744C2×C4—1661no—
1745C2×C4—1661no—
1746C2×C4—1661no—
1747C2×C4—1661no—
1748C2×C4—1661no—
1749C2×C4—1661no—
1750C2×C4—1661no—
1751C2×C4—1661no—
1752C2×C4—1661no—
1753C2×C4—1661no—
1754C2×C4—1661no—
1755C2×C4—1661no—
1756C2×C4—1661no—
1757C2×C4—1661no—
1758C2×C4—1661no—
1759C2×C4—1661no—
1760C2×C4—1661no—
1761C2×C4—1661no—
1762C2×C4—1661no—
1763C2×C4—1661no—
1764C2×C4C2×D4×D8312yes—
1765C2×C4C2×D4×D8312yes—
1766C2×C4C2×#1305059012yes—
1767C22—22no—
1768C22—22no—
1769C22—22no—
1770C22—22no—
1771C22—22no—
1772C22—22no—
1773C22—22no—
1774C22—22no—
1775C22—22no—
1776C22—41no—
1777C22—41no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—41no—
1785C22—41no—
1786C22—41no—
1787C22—33216no—
1788C22—33216no—
1789C22—3321no—
1790C22—3321no—
1791C22—3321no—
1792C22—3321no—
1793C22—3321no—
1794C22—3321no—
1795C22—3321no—
1796C22—3321no—
1797C22—3321no—
1798C22—3321no—
1799C22—3321no—
1800C22—3321no—
1801C22—3321no—
1802C22—3321no—
1803C22—3321no—
1804C22—3321no—
1805C22—3321no—
1806C22—3321no—
1807C22—3321no—
1808C22—3321no—
1809C22—3321no—
1810C22—3321no—
1811C22—834no—
1812C22—6648no—
1813C22—1662no—
1814C22—1662no—
1815C22—1662no—
1816C22—1662no—
1817C22—1662no—
1818C22—1662no—
1819C22—1662no—
1820C22—1662no—
1821C22—1662no—
1822C22—1662no—
1823C22—1662no—
1824C22—1662no—
1825C22#1912821014yes—
1826C22C22×D4×D8311yescharacteristic
1827C22C2×#41×D8311yescharacteristic
1828C22C22×#1305059011yescharacteristic
1829C22H(5,𝔽2)×D8311yescharacteristic
1830C22H(5,𝔽2)×D8311yescharacteristic
1831C22H(5,𝔽2)×D8311yescharacteristic
1832C22#1912853811yescharacteristic
1833C4—22no—
1834C4—22no—
1835C4—22no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—3321no—
1846C4—3321no—
1847C4—3321no—
1848C4—3321no—
1849C4—3321no—
1850C4—3321no—
1851C4—3321no—
1852C4—1662no—
1853C4—1662no—
1854C4—1662no—
1855C4—1662no—
1856C2—24no—
1857C2—42no—
1858C2—81no—
1859C2—3322no—
1860C2—3322no—
1861C2—6641no—
1862C2—6641no—
1863C2—1664no—
1864C2C2×#1912821011yescharacteristic
1865C2#538×D8311yescharacteristic
1866C2#2492087111yescharacteristic
1867C2#2492109511yescharacteristic
1868C2#2492112711yescharacteristic
1869C2#2492140511yescharacteristic
1870C2#2492148511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D83
commutator, socle, cosocleC23×C83C25
FittingC83×#2325C2
hypercenter#2325D83
hypocenterC83#34990
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C23 ◁ #2325

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#19128284C2semidirect
2. C2×C4×D4×D83C2semidirect
3. #24915781C2semidirect
4. #24915761C2semidirect
5. #24915758C2semidirect
6. #24915744C2semidirect
7. #24913366C2semidirect
8. #24913354C2semidirect
9. #24913319C2semidirect
10. #24913312C2semidirect
11. #24911728C2semidirect
12. #24911593C2semidirect
13. #24911518C2semidirect
14. #24911404C2semidirect
15. #24911362C2semidirect
16. #24911359C2semidirect
17. #24911293C2semidirect
18. #24911219C2semidirect
19. #24911197C2semidirect
20. #24911131C2semidirect
21. #24911005C2semidirect
22. #24910998C2semidirect
23. #24910931C2semidirect
24. #24910840C2semidirect
25. #24910834C2semidirect
26. #24910775C2semidirect
27. #24910117C2semidirect
28. #24910097C2semidirect
29. C4×#14581760C2semidirect
30. C2×#19127579C2semidirect
31. C83×#2325C2semidirect
35. C23×C4×D83C22semidirect
37. C2×#14581787C22semidirect
38. C2×#14581786C22semidirect
39. C2×#14581780C22semidirect
40. C2×#14581778C22semidirect
41. C2×#14581777C22semidirect
42. C2×#14581777C22semidirect
43. C2×#14581775C22semidirect
44. C2×#14581770C22semidirect
45. C2×#14581769C22semidirect
46. C2×#14581766C22semidirect
49. C2×#14581765C22semidirect
51. C2×#14581764C22semidirect
57. C2×#14581760C22semidirect
58. C2×#14581760C22semidirect
59. C2×C4×D332C22semidirect
61. C2×#14581754C22semidirect
63. C2×C4×C22⋊D83C22semidirect
64. C2×C4×C22⋊D83C22semidirect
65. C2×C4×C22⋊D83C22semidirect
67. C2×(C22⋊D83)⋊C4C22semidirect
69. C2×C4⋊C4×D83C22semidirect
71. C22×(C2×D83)⋊C4C22semidirect
72. C22×(C2×D83)⋊C4C22semidirect
74. C2×C22⋊C4×D83C22semidirect
75. C2×C42×D83C22semidirect
76. #19127643C22semidirect
77. #19127642C22semidirect
78. #19127636C22semidirect
79. #19127636C22semidirect
80. #19127635C22semidirect
81. #19127630C22semidirect
82. #19127630C22semidirect
83. #19127629C22semidirect
84. #19127625C22semidirect
85. #19127624C22semidirect
86. #19127623C22semidirect
87. #19127623C22semidirect
88. #19127619C22semidirect
89. #19127619C22semidirect
90. #19127619C22semidirect
91. #19127618C22semidirect
92. #19127618C22semidirect
93. #19127617C22semidirect
94. #19127616C22semidirect
95. #19127616C22semidirect
96. #19127616C22semidirect
97. #19127614C22semidirect
98. #19127613C22semidirect
103. #19127610C22semidirect
104. #19127610C22semidirect
105. #19127610C22semidirect
106. #19127609C22semidirect
107. #19127609C22semidirect
108. #19127605C22semidirect
109. #19127601C22semidirect
110. #19127601C22semidirect
111. #19127601C22semidirect
112. #19127595C22semidirect
113. #19127592C22semidirect
114. #19127592C22semidirect
115. #19127591C22semidirect
116. #19127591C22semidirect
117. #19127591C22semidirect
118. #19127591C22semidirect
119. #19127590C22semidirect
120. #19127590C22semidirect
121. #19127590C22semidirect
122. #19127588C22semidirect
123. #19127583C22semidirect
124. #19127583C22semidirect
125. #19127583C22semidirect
127. #19127581C22semidirect
130. #19127580C22semidirect
131. #19127580C22semidirect
140. #19127579C22semidirect
141. #19127579C22semidirect
142. #19127579C22semidirect
143. #19127579C22semidirect
144. #19127579C22semidirect
145. #19127578C22semidirect
146. #19127577C22semidirect
147. #19127577C22semidirect
148. #19127577C22semidirect
149. #19127577C22semidirect
150. #19127575C22semidirect
151. #19127574C22semidirect
152. #19127574C22semidirect
153. #19127573C22semidirect
154. #19127573C22semidirect
155. #19127573C22semidirect
156. #19127572C22semidirect
157. #19127572C22semidirect
158. #19127572C22semidirect
159. #19127572C22semidirect
160. #19127568C22semidirect
161. #19127565C22semidirect
162. #19127563C22semidirect
163. #19127563C22semidirect
164. #19127560C22semidirect
165. #19127560C22semidirect
166. #19127559C22semidirect
168. #19127556C22semidirect
169. #19127556C22semidirect
170. C4×(C2×D83)⋊C4C22semidirect
171. C4×(C2×D83)⋊C4C22semidirect
172. C4×C22⋊Dic83C22semidirect
173. C2×C83⋊#95C22semidirect
176. C2×C4×D4×C83C22semidirect
177. #388×C83C22semidirect
178. #388×C83C22semidirect
179. #387×C83C22semidirect
180. #387×C83C22semidirect
182. #386×C83C22semidirect
183. #386×C83C22semidirect
184. #386×C83C22semidirect
185. #385×C83C22semidirect
186. #385×C83C22semidirect
187. #380×C83C22semidirect
188. C2×#95×C83C22semidirect
261. C4×C22⋊D83D4semidirect
524. C2×C4×D83C2×D4semidirect
539. Dic83⋊C4C2×D4semidirect
585. (C2×D83)⋊C4C2×D4semidirect
590. C4×Dic83C2×D4semidirect
896. C2×D83#538semidirect
962. #2325D83semidirect
967. C83#34990semidirect
1007. C2×C4×D4C2×D83semidirect
1061. #388C2×D83semidirect
1062. #388C2×D83semidirect
1067. #387C2×D83semidirect
1068. #387C2×D83semidirect
1094. #386C2×D83semidirect
1095. #386C2×D83semidirect
1096. #386C2×D83semidirect
1107. #385C2×D83semidirect
1108. #385C2×D83semidirect
1116. #380C2×D83semidirect
1124. C2×#95C2×D83semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#191282842
C2×C4×D4×D832
#249157812
#249157612
#249157582
#249157442
#249133662
#249133542
#249133192
#249133122
#249117282
#249115932
#249115182
#249114042
#249113622
#249113592
#249112932
#249112192
#249111972
#249111312
#249110052
#249109982
#249109312
#249108402
#249108342
#249107752
#249101172
#249100972
C4×#145817602
C2×#191275792
C83×#23252
#3499083